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Finding the Fourth Proportional to 538,473.24, 743,098.12 and 296,764.50

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Solution

The fourth proportional to 538,473.24, 743,098.12 and 296,764.50 is: 409,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,473.24 : 743,098.12 = 296,764.50 : x
  2. Step 2: Convert to fraction form
    538,473.24/743,098.12 = 296,764.50/x
  3. Step 3: Cross multiply
    538,473.24x = 743,098.12 × 296,764.50
  4. Step 4: Simplify right side
    538,473.24x = 220,525,142,032.74
  5. Step 5: Solve for x
    x = 220,525,142,032.74/538,473.24
  6. Step 6: Final answer
    x = 409,537.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.